What is the Least Common Multiple of 57056 and 57072?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 57056 and 57072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57056 and 57072, than apply into the LCM equation.

GCF(57056,57072) = 16
LCM(57056,57072) = ( 57056 × 57072) / 16
LCM(57056,57072) = 3256300032 / 16
LCM(57056,57072) = 203518752

Least Common Multiple (LCM) of 57056 and 57072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57056 and 57072. First we will calculate the prime factors of 57056 and 57072.

Prime Factorization of 57056

Prime Factorization of 57072

Now multiplying the highest exponent prime factors to calculate the LCM of 57056 and 57072.

LCM(57056,57072) = 2⁵ × 1783¹ × 3¹ × 29¹ × 41¹
LCM(57056,57072) = 203518752